X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Fcprs_cprs.ma;h=e86df253ee59842817485ddcc2c669d3f7ab671a;hb=4b8544042a6f3c5f5d303d4120c69abbc34ce15b;hp=3f2754bd569b4ffda646d21d9db433252c4789c9;hpb=52e675f555f559c047d5449db7fc89a51b977d35;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cprs_cprs.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cprs_cprs.ma
index 3f2754bd5..e86df253e 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cprs_cprs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cprs_cprs.ma
@@ -59,14 +59,14 @@ theorem cprs_beta: ∀a,G,L,V1,V2,W1,W2,T1,T2.
 qed.
 
 theorem cprs_theta_rc: ∀a,G,L,V1,V,V2,W1,W2,T1,T2.
-                       ⦃G, L⦄ ⊢ V1 ➡ V → ⇧[0, 1] V ≡ V2 → ⦃G, L.ⓓW1⦄ ⊢ T1 ➡* T2 →
+                       ⦃G, L⦄ ⊢ V1 ➡ V → ⬆[0, 1] V ≡ V2 → ⦃G, L.ⓓW1⦄ ⊢ T1 ➡* T2 →
                        ⦃G, L⦄ ⊢ W1 ➡* W2 → ⦃G, L⦄ ⊢ ⓐV1.ⓓ{a}W1.T1 ➡* ⓓ{a}W2.ⓐV2.T2.
 #a #G #L #V1 #V #V2 #W1 #W2 #T1 #T2 #HV1 #HV2 #HT12 #H @(cprs_ind … H) -W2
 /3 width=5 by cprs_trans, cprs_theta_dx, cprs_bind_dx/
 qed.
 
 theorem cprs_theta: ∀a,G,L,V1,V,V2,W1,W2,T1,T2.
-                    ⇧[0, 1] V ≡ V2 → ⦃G, L⦄ ⊢ W1 ➡* W2 → ⦃G, L.ⓓW1⦄ ⊢ T1 ➡* T2 →
+                    ⬆[0, 1] V ≡ V2 → ⦃G, L⦄ ⊢ W1 ➡* W2 → ⦃G, L.ⓓW1⦄ ⊢ T1 ➡* T2 →
                     ⦃G, L⦄ ⊢ V1 ➡* V → ⦃G, L⦄ ⊢ ⓐV1.ⓓ{a}W1.T1 ➡* ⓓ{a}W2.ⓐV2.T2.
 #a #G #L #V1 #V #V2 #W1 #W2 #T1 #T2 #HV2 #HW12 #HT12 #H @(cprs_ind_dx … H) -V1
 /3 width=3 by cprs_trans, cprs_theta_rc, cprs_flat_dx/
@@ -80,7 +80,7 @@ lemma cprs_inv_appl1: ∀G,L,V1,T1,U2. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡* U2 →
                                         U2 = ⓐV2. T2
                        | ∃∃a,W,T.       ⦃G, L⦄ ⊢ T1 ➡* ⓛ{a}W.T &
                                         ⦃G, L⦄ ⊢ ⓓ{a}ⓝW.V1.T ➡* U2
-                       | ∃∃a,V0,V2,V,T. ⦃G, L⦄ ⊢ V1 ➡* V0 & ⇧[0,1] V0 ≡ V2 &
+                       | ∃∃a,V0,V2,V,T. ⦃G, L⦄ ⊢ V1 ➡* V0 & ⬆[0,1] V0 ≡ V2 &
                                         ⦃G, L⦄ ⊢ T1 ➡* ⓓ{a}V.T &
                                         ⦃G, L⦄ ⊢ ⓓ{a}V.ⓐV2.T ➡* U2.
 #G #L #V1 #T1 #U2 #H @(cprs_ind … H) -U2 /3 width=5 by or3_intro0, ex3_2_intro/
@@ -91,7 +91,7 @@ lemma cprs_inv_appl1: ∀G,L,V1,T1,U2. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡* U2 →
   | #a #V2 #W #W2 #T #T2 #HV02 #HW2 #HT2 #H1 #H2 destruct
     lapply (cprs_strap1 … HV10 … HV02) -V0 #HV12
     lapply (lsubr_cpr_trans … HT2 (L.ⓓⓝW.V1) ?) -HT2
-    /5 width=5 by cprs_bind, cprs_flat_dx, cpr_cprs, lsubr_abst, ex2_3_intro, or3_intro1/
+    /5 width=5 by cprs_bind, cprs_flat_dx, cpr_cprs, lsubr_beta, ex2_3_intro, or3_intro1/
   | #a #V #V2 #W0 #W2 #T #T2 #HV0 #HV2 #HW02 #HT2 #H1 #H2 destruct
     /5 width=10 by cprs_flat_sn, cprs_bind_dx, cprs_strap1, ex4_5_intro, or3_intro2/
   ]